摘要
为了改善齿轮的啮合传动性能,提出基于Ease-off的弧齿锥齿轮齿面修形优化方法.通过预置齿轮副重合度、对称抛物线传动误差及接触椭圆参数,分别沿接触路径和啮合线对小轮齿面进行双向修形,获得目标齿面;建立最小二乘法优化模型,采用基于置信域策略的列文伯格-马夸尔特优化算法反求与目标齿面高精度逼近的小轮机床调整参数.算例表明,经过有限次迭代优化,可获得逼近目标齿面的一组机床调整参数,实现预置传动性能,且齿面偏差不大于2.0μm;齿轮副的设计重合度、传动误差幅值及接触椭圆参数对修形优化的迭代次数和精度有直接的影响.
In order to improve the meshing performance of gear drive,an Ease-offbased modification method of tooth surface is proposed for spiral bevel gears.By predesigning the contact ratio of gear pair,the symmetric parabolic function of transmission error and the contact ellipse,a bidirectional modification of the pinion surface is performed along the contact path and the contact line,thus obtaining the target tooth surface.Then,a least-square optimization model is established to identify the machine-tool setting parameters approaching the target surface via the Levenberg-Marquardt method based on a trust-region strategy.The results of numerical examples show that a set of machine-tool setting parameters approaching the target surface can be obtained through limited iterations,which ensures the pre-designed meshing performance and keeps the maximum derivation of tooth surface within 2.0μm; and that the pre-designed contact ratio,the transmission error amplitude and the contact ellipse all directly affect the iteration times as well as the precision of tooth surface modification.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2014年第4期91-96,104,共7页
Journal of South China University of Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(51205310)
长安大学中央高校基本科研业务费专项资金资助项目(2013G3252005
2014G1251031)
关键词
弧齿锥齿轮
齿面修形
传动误差
重合度
列文伯格-马夸尔特法
spiral bevel gear
tooth surface modification
transmission error
contact ratio
Levenberg-Marquardt method
